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# Handout12 - STOR 435 Handout 12 Sections 6.1 Example...

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STOR 435 Handout 12 Sections 6.1 Example 1 (Exercise 6.1.a, Joint dist, Discrete) . Two fair dice are rolled. Find the joint probability mass function of X and Y when X is the largest value obtained on any die and Y is the sum of the values Example 2 (Exercise 6.6, Joint dist, Discrete ) . A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defective ones are identi±ed. Denote by N 1 the number of tests made until the ±rst defective is identi±ed and by N 2 the number of additional tests until the second defective is identi±ed. Find the joint probability mass function of N 1 and N 2 . Now ±nd the probability mass function of just N 1 . Example 3 (Joint dist; continuous) . The joint density of X and Y is given by f ( x,y ) = b 2 e - x e - 2 y 0 < x < , 0 < y < 0 otherwise Compute 1. P ( X > 1 ,Y < 1), 2. P ( X < Y ) 3. P ( X < a ) Example 4 (Example 1d; Joint dist; continuous) . Consider a circle of radius

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Handout12 - STOR 435 Handout 12 Sections 6.1 Example...

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